Standard generators of L2(193) are a of
order 2, b of order 3 such that ab has order 193.
Standard generators of the double cover
2.L2(193) = SL2(193) are preimages
A and B such that B has order 3 and
AB has order 193.

Standard generators of L2(193):2 = PGL2(193) are not yet defined.
Standard generators of the double cover 2.L2(193):2 = 2.PGL2(193) are not yet defined.